Statistical convergence and statistical continuity on locally solid Riesz spaces
TOPOLOGY AND ITS APPLICATIONS, cilt.159, sa.7, ss.1887-1893, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 159 Sayı: 7
- Basım Tarihi: 2012
- Doi Numarası: 10.1016/j.topol.2011.04.026
- Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1887-1893
- Anahtar Kelimeler: Locally solid Riesz space, Statistical topological convergence, Statistical tau-Cauchy, Statistical tau-bounded, Statistical tau-continuity
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this work, we introduce the concepts of statistical tau-convergence, statistically tau-Cauchy sequence and statistically tau-bounded sequence in a locally solid Riesz space endowed with the topology tau, and investigate some properties of these concepts. We also examine the statistical tau-continuity of a mapping defined on a locally solid Riesz space. (c) 2011 Elsevier B.V. All rights reserved.